Question

explore the exterior angles of polygons by following these steps.

1. press continue to examine another polygon.
2. these sectors show the exterior angles of a quadrilateral. press continue to see if they form a circle.
3. press continue to examine another polygon.
4. these sectors show the exterior angles of a pentagon. press continue to see if they form a circle.
5. in all three cases, the sectors formed a circle. make a conjecture. what is the sum of the exterior angles of any polygon?

Explanation:

Step1: Recall the property of a circle

A full - circle has an angle measure of \(360^{\circ}\).

Step2: Analyze the given cases

In the cases of the triangle (implied in step 2, as it's part of exploring polygons), quadrilateral, and pentagon, the sectors (representing exterior angles) formed a circle.

Answer:

\(360^{\circ}\)